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Vika [28.1K]
3 years ago
13

Which function is an odd function?

Mathematics
1 answer:
hjlf3 years ago
8 0
A function is odd if:
f ( - x ) = - f ( x )
A ) f ( - x )= 0.8 ( - x ) ^3 = - 0.8 x^3 = - f ( x )
Answer: A ) f ( x ) = 0.8 x^3 is an odd function. 
Functions B ) and C ) are even and D) is neither even nor odd.
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3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d
pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}

Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.

To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.

Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.

Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

\displaystyle A = Pe^{rt}

Where <em>e</em> is Euler's number.

Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}

In conclusion, about $3692.47 should be deposited.

8 0
2 years ago
Which statement about isosceles triangles is true?
Paraphin [41]
C- I’m assuming that you meant to say that they have one angle that is equivalent to another
All isosceles triangles have two sides that are of equal length
7 0
3 years ago
To gain access to his account, a customer using an automatic teller machine (ATM) must enter a four-digit code. If repetition of
VMariaS [17]
I’m not really much sure, I tried.
8 0
3 years ago
2(3x+8)=6x+16<br> how many solutions does this equation have
Kisachek [45]

Answer:

infinite

Step-by-step explanation:

infinite

but solving for it we can get

3x + 8 = 3x + 8 (divided both sides by 2)

3x = 3x (subtracted 8)

x = x

1 = 1

therefore, for all values of x, the equation will be true so there are

infinite solutions

4 0
3 years ago
What is the sum of 2 3/5 - 1 3/8
Natalija [7]
The Sum of 2 3/5-1 3/8 is 1.225
i hoped that helped u. 
8 0
3 years ago
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